Mental Math

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Grade 5 Topics

1 Numeration Review
- 1.1 Place Values
- 1.2 Conversion between Place Values
- 1.3 Comparing and Ordering Numbers
- 1.4 Place Value on Decimals
- 1.5 Comparing and Ordering Decimals
- 1.6 Problem Solving Using Patterns
- 1.7A Expression in Scientific Notation
- 1.7B Expression in Scientific Notation

2 Add and Subtract Whole Numbers and Decimals Part I
- 2.1 Mental Math on Addition and Subtraction
- 2.2 Addition and Subtraction Problem Solving
- 2.3 Addition and Subtraction Properties
- 2.4 Rounding Whole Numbers and Decimals
- 2.5 Estimating Sums and Differences

3 Add and Subtract Whole Numbers and Decimals Part II
- 3.1 Add and Subtract Whole numbers and Decimals
- 3.2 Problem Solving and Write Equations
- 3.3 Adding and Subtracting Decimals
- 3.4 Adding and Subtracting Money
- 3.5 Problem Solving Multistep Problem

4 Multiplying Whole Numbers Part I
- 4.1 Multiplication Properties
- 4.2 Using Mental Math to Multiply
- 4.3A Estimating Products
- 4.3B Estimating Products
- 4.4 Multiplying by 1-Digit Numbers
- 4.5A Multiplying by 2-Digit Numbers
- 4.5B Multiplying by 2-Digit Numbers
- 4.6 Multiplying by 3-Digit Numbers

5 Multiplying Whole Numbers Part II
- 5.1 Multiplying Greater Numbers
- 5.2 Multiplying Numbers Ending at Zero
- 5.3 Multiplying 3 Numbers
- 5.4 Concepts of Exponents
- 5.5 Multiplication Inequalities
- 5.6 Problem Solving and Write Equations

6 Division: 1-Digit Divisor
- 6.1 Connecting Models and Symbols
- 6.2 Estimating Quotients
- 6.3 Division Using 1-Digit Divisors
- 6.4 Zeros in the Quotient
- 6.5 Dividing by Multiples of 10 and 100
- 6.6A Prime and Composite Numbers
- 6.6B Prime and Composite Numbers
- 6.7 Problem Solving and Write Equations

7 Division: 2-Digit Divisor
- 7.1A Use of Patterns in Division
- 7.1B Use of Patterns in Division
- 7.2 Estimating Quotients
- 7.3 Dividing by Multiples of 10
- 7.4 Dividing the Numbers Ending at Zero
- 7.5 1-Digit and 2-Digit Quotients
- 7.6 Dividing with Greater Numbers
- 7.7 Inequalities with Divisions
- 7.8 Problem Solving Multistep Problems

8 Variables and Expressions
- 8.1 Concept of Variables and Expressions
- 8.2 Patterns and Expression
- 8.3 Evaluate Variable Expression
- 8.4 Distributive Property
- 8.5 Order of Operations
- 8.6 Addition and Subtraction of Expressions
- 8.7 Writing Multiplication Expressions Using Exponents
- 8.8 Evaluating Exponent Expressions

9 Multiplying and Dividing Decimals Part I
- 9.1A Multiplying Decimals by the Power of 10
- 9.1B Multiplying Decimals by the Power of 10
- 9.2A Multiplying Decimals by a Whole Numbers
- 9.2B Multiplying Decimals by a Whole Numbers
- 9.3A Estimation of the Product of a Decimal Number and a Whole Number
- 9.3B Estimation of the Product of a Decimal Number and a Whole Number
- 9.4A Multiplication of Two Decimal Numbers
- 9.4B Multiplication of Two Decimal Numbers
- 9.5 Multiplying Money Amount
- 9.6 Dividing Decimals by the Power of 10

10 Multiplying and Dividing Decimals Part II
- 10.1 Dividing Decimals by Whole Numbers
- 10.2A Dividing Decimals by Whole Numbers with Rounding
- 10.2B Dividing Decimals by Whole Numbers with Rounding
- 10.3 Dividing a Decimal by a Decimal
- 10.4 Dividing Money Amount
- 10.5 Inequalities of Decimals
- 10.6 Problem Solving Multistep Problems

11 Shapes
- 11.1 Basic Concepts, Parallel, and Perpendicular Lines
- 11.2 Measuring and Classifying Angles
- 11.3 Regular and Irregular Polygons
- 11.4 Classify Triangles
- 11.5 Quadrilaterals
- 11.6 Finding Unknown Angles in Triangles and Quadrilaterals

12 Fractions Part I
- 12.1 Meaning of Fractions
- 12.2 Fractions and Divisions
- 12.3 Convert between Mixed Number and Improper Fractions
- 12.4 Equivalent Fractions
- 12.5 Reduce Fraction to Simplest Form
- 12.6 Ordering Fractions
- 12.7 Comparing and Ordering Fractions and Mixed Numbers

13 Fractions Part II
- 13.1 Factors and Common Factors
- 13.2 Greatest Common Factor (GCF)
- 13.3A Tenths, Hundredths, and Thousandths
- 13.3B Tenths, Hundredths, and Thousandths
- 13.4 Fractions and Decimals on the Number Line
- 13.5 Order Decimals, Fractions, and Mixed Numbers
- 13.6 Problem Solving

14 Fraction and Mixed Numbers Operation Part I
- 14.1A Adding and Subtracting Fractions with Like Denominators
- 14.1B Adding and Subtracting Fractions with Like Denominators
- 14.1C Adding and Subtracting Fractions with Like Denominators
- 14.2 Multiples and Common Multiples
- 14.3 Least Common Multiples (LCM)
- 14.4 Adding and Subtracting Fractions with Unlike Denominators
- 14.5A Addition of Three or More Fractions with Like/Unlike Denominators
- 14.5B Addition of Three or More Fractions with Like/Unlike Denominators
- 14.6A Adding and Subtracting Mixed Numbers
- 14.6B Adding and Subtracting Mixed Numbers
- 14.6C Adding and Subtracting Mixed Numbers
- 14.7 Problem Solving

15 Fraction and Mixed Numbers Operation Part II
- 15.1 Multiplying Fractions and Whole Numbers
- 15.2 Multiplying Two Fractions
- 15.3 Multiplying Three Fractions
- 15.4 Multiplying Mixed Numbers and Whole Numbers
- 15.5 Multiplying Mixed Numbers and Mixed Numbers
- 15.6 Dividing Fractions
- 15.7 Dividing Fractions and Mixed Numbers
- 15.8 Problem Solving

16 Perimeter and Area
- 16.1 Perimeters of all Kinds of Shapes
- 16.2 Area of Squares and Rectangles
- 16.3 Area of Parallelograms and Trapezoids
- 16.4 Area of Triangles
- 16.5 Area of a Compound Figure

17 Shapes and Solids Part I
- 17.1 Circles and Circumference
- 17.2 Problem Solving: Draw a Picture to Make an Organized List
- 17.3 Solids
- 17.4 Shapes and Solids
- 17.5 Surface Area

18 Shapes and Solids Part II
- 18.1 Views of Solids from Different Perspectives
- 18.2 Volume
- 18.3 Irregular Shapes and Solids
- 18.4 Problem Solving

19 Measurement Units, Time, and Temperature Part I
- 19.1 Customary Units
- 19.2A Metric Units
- 19.2B Metric Units
- 19.3A Units of Weight and Mass
- 19.3B Units of Weight and Mass
- 19.4 Compare and Convert Customary Units
- 19.5 Compare and Convert Metric Units
- 19.6 Operations with Mixed Units

20 Measurement Units, Time, and Temperature Part II
- 20.1 Converting Customary and Metric Units
- 20.2 Elapsed Time
- 20.3 Time Lines and Schedules
- 20.4 Temperature Change
- 20.5 Problem Solving

21 Solving Equations
- 21.1 Equations and Their Properties
- 21.2 Addition and Subtraction
- 21.3 Multiplication and Division
- 21.4A Inequalities
- 21.4B Inequalities
- 21.5 Patterns and Equation
- 21.6 Problem Solving and Writing Equations

22 Ratio, Percent, and Proportion
- 22.1A Calculate Ratio
- 22.1B Calculate Ratio
- 22.2 Equivalent and Equal Ratios
- 22.3A Proportion and Rates
- 22.3B Proportion and Rates
- 22.4 Understanding Percent
- 22.5 Relate Percent, Fractions and Decimals
- 22.6 Calculate the Percent
- 22.7 Problem Solving

23 Equations and Graphs Part I
- 23.1 Understanding Integers
- 23.2A Comparison of Integers
- 23.2B Comparison of Integers
- 23.3 Writing Linear Functions
- 23.4 Ordered Pairs
- 23.5 Graphing Equations

24 Equations and Graphs Part II
- 24.1 Distances on the Coordinate Plane
- 24.2 Explore Linear and Non-Linear Relationship
- 24.3 Locations and Relative Coordinates on the Coordinate Plane
- 24.4 Problem Solving by Work Backward

25 Graphs and Data
- 25.1 Interpret Data from Surveys
- 25.2 Create and Interpret Bar Graphs and Picture Graphs
- 25.3 Create and Interpret Line Graphs
- 25.4 Create and Interpret Stem–and-Leaf Plots
- 25.5 Create and Interpret Histograms
- 25.6 Create and Interpret Circle Graphs
- 25.7A Calculate Measures of Central Tendency and the Range
- 25.7B Calculate Measures of Central Tendency and the Range
- 25.8 Problem Solving

26 Transformation, Congruence, and Symmetry
- 26.1 Reflections
- 26.2 Translations
- 26.3 Rotations
- 26.4 Congruence
- 26.5 Similarities
- 26.6 Line of Symmetry and Rotational Symmetry
- 26.7 Problem Solving

27 Probability
- 27.1 Outcomes
- 27.2 Calculate Probability as a Fraction
- 27.3 Experiments and Predictions
- 27.4 Combination
- 27.5 Problem Solving

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Smart Score out of 100

For a girls’ choir concert, they are allowed to pick white, blue, pink, or yellow sweaters and they can pick brown, black, gray, or orange skirts. How many different combinations can the choir pick if all the colors match?

The choir can pick different color combinations if all the color match.

Correct answer is 16.

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